A084178 - OEIS

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A084178

Inverse binomial transform of Fibonacci oblongs.

0, 1, 0, 3, -1, 10, -7, 35, -36, 127, -165, 474, -715, 1807, -3004, 6995, -12393, 27370, -50559, 107883, -204820, 427351, -826045, 1698458, -3321891, 6765175, -13333932, 26985675, -53457121, 107746282, -214146295, 430470899, -857417220, 1720537327, -3431847189

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OFFSET

0,4

COMMENTS

Inverse binomial transform of A001654.

LINKS

Table of n, a(n) for n=0..34.

Index entries for linear recurrences with constant coefficients, signature (-1,3,2).

FORMULA

a(n)=((1/2+sqrt(5)/2)^(n+1)+(1/2-sqrt(5)/2)^(n+1)-(-2)^n)/5;

G.f.: x(1+x)/(1+x-3x^2-2x^3)=x(1-x)/((1+2x)(1-x-x^2)).

a(n) = A084179(n)+A084179(n-1). - R. J. Mathar, Dec 10 2014